Maximality of entropy in finite von Neumann algebras

被引：0

作者：

Uffe Haagerup

Erling Størmer

机构：

[1] Department of Mathematics and Computer Science,

[2] Odense University,undefined

[3] Campusvej 55,undefined

[4] DK-5230 Odense M,undefined

[5] Denmark,undefined

[6] Department of Mathematics,undefined

[7] University of Oslo,undefined

[8] P.O. Box 1053 Blindern,undefined

[9] N- 0316 Oslo,undefined

[10] Norway,undefined

来源：

Inventiones mathematicae | 1998年 / 132卷

关键词：

Entropy; Entropy Function; Abelian Subalgebra; Maximal Abelian Subalgebra;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

It is shown that the entropy function H(N1,…,Nk) on finite dimensional von Neumann subalgebras of a finite von Neumann algebra attains its maximal possible value H(⋁ℓ=1kNℓ) if and only if there exists a maximal abelian subalgebra A of ⋁ℓ=1kNℓ such that A=⋁ℓ=1k(A∩Nℓ).

引用

页码：433 / 455

页数：22